Question

Why the factorial expansion in 4! doesn't expand to negative terms.

Answer 1

Answer topa

Step-by-step explanation:

Answer 2

Answer:

If this is a doubt then let me ease the answer for you before that lets just look at a set of examples:-

3!= 3×2×1 = 3×2!

5!= 5×4×3×2×1 = 5×4!

Now lets consider 4!= 4×3×2×1 which can also be written as 4! = 4×3×2! (Or) 4×3!

Now what about negative numbers?

If you observe carefully you will notice a pattern like this

3!=4!/4

5!=6!/6

2!=3!/3 and

0!=1!/1=1

Similarly

-1!=0!/0 = not defined

So if 4!=4×3×2×1×0×-1×-2...

Which can be written as 4×3×2×1×0×-1! Which is not defined

In more simple words

4!=4×3×2×1×0×(-1×-2×-3...)

4!=0×-infinity is an indeterminate form